Search a number
-
+
68210064 = 24321383439
BaseRepresentation
bin1000001000011…
…00110110010000
311202100102121200
410010030312100
5114430210224
610433551200
71455530106
oct404146620
9152312550
1068210064
113555925a
121aa15500
1311192bb0
1490b7c76
155ec55c9
hex410cd90

68210064 has 120 divisors (see below), whose sum is σ = 208528320. Its totient is φ = 20687616.

The previous prime is 68210053. The next prime is 68210071. The reversal of 68210064 is 46001286.

It is a super-2 number, since 2×682100642 = 9305225661768192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155157 + ... + 155595.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 268210064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68210064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104264160).

68210064 is an abundant number, since it is smaller than the sum of its proper divisors (140318256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68210064 is a wasteful number, since it uses less digits than its factorization.

68210064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68210064 is about 8258.9384305733. The cubic root of 68210064 is about 408.5853765710.

The spelling of 68210064 in words is "sixty-eight million, two hundred ten thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 83 104 117 144 156 166 208 234 249 312 332 439 468 498 624 664 747 878 936 996 1079 1317 1328 1494 1756 1872 1992 2158 2634 2988 3237 3512 3951 3984 4316 5268 5707 5976 6474 7024 7902 8632 9711 10536 11414 11952 12948 15804 17121 17264 19422 21072 22828 25896 31608 34242 36437 38844 45656 51363 51792 63216 68484 72874 77688 91312 102726 109311 136968 145748 155376 205452 218622 273936 291496 327933 410904 437244 473681 582992 655866 821808 874488 947362 1311732 1421043 1748976 1894724 2623464 2842086 3789448 4263129 5246928 5684172 7578896 8526258 11368344 17052516 22736688 34105032 68210064